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A spin-coefficient approach to Weyssenhoff fluids in Einstein-Cartan theory

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Abstract

The generalized Newman-Penrose formalism is used to analyze semiclassical aligned spin fluids satisfying the Weyssenhoff restriction in the framework of Einstein-Cartan theory. Some general properties are derived and the formalism is then used to obtain two classes of exact solution. One has a flat metric, but the fluid has in general nonzero acceleration, expansion, and shear. It is characterized by two arbitrary constants and two functions of two variables satisfying one partial differential equation. In the other class the fluid has nonzero acceleration and vorticity, and the free gravitational field is of typeD. It is characterized by three arbitrary constants and an arbitrary function of two spacelike coordinates.

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References

  1. Jogia, S., and Griffiths, J. B. (1980).Gen. Rel. Grav.,12, 597–617.

    Google Scholar 

  2. Weyssenhoff, J., and Raabe, A. (1947).Acta Phys. Polon.,9, 7–18.

    Google Scholar 

  3. Kuchowicz, B. (1976).Acta Cosmologica,4, 67–100.

    Google Scholar 

  4. Hehl, F. W., von der Heyde, P., Kerlick, G. D., and Nester, J. M. (1976).Rev. Mod. Phys.,48, 393–416.

    Google Scholar 

  5. Hehl, F. W. (1973).Gen. Rel. Grav.,4, 333–349; (1974).Gen. Rel. Grav., 5, 491–516.

    Google Scholar 

  6. Griffiths, J. B. (1981),Gen. Rel. Grav.,13, 227–237.

    Google Scholar 

  7. Ellis, G. F. R. (1971).General Relativity and Cosmology, pp. 104–182, R. K. Sachs, ed. Academic Press, New York.

    Google Scholar 

  8. Arkuszewski, W., Kopczynski, W., and Ponomariev, V. N. (1974).Ann. Inst. Henri Poincaré A,21, 89–95.

    Google Scholar 

  9. Wainwright, J. (1970).Commun. Math. Phys.,17, 42–60.

    Google Scholar 

  10. Rosenbaum, M., Ryan, M. P., and Shepley, L. C. (1979).J. Math. Phys.,20, 744–751.

    Google Scholar 

  11. Jogia, S. (1981). Ph.D. thesis, Loughborough University.

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Authors and Affiliations

  1. Department of Mathematics, University of Technology, Loughborough, Leicestershire, England

    J. B. Griffiths & S. Jogia

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  1. J. B. Griffiths
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  2. S. Jogia
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Griffiths, J.B., Jogia, S. A spin-coefficient approach to Weyssenhoff fluids in Einstein-Cartan theory. Gen Relat Gravit 14, 137–149 (1982). https://doi.org/10.1007/BF00756919

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